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Finding the Third Proportional to 264,415 and 397,208

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Solution

The third proportional to 264,415 and 397,208 is: 596,691.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,415 : 397,208 = 397,208 : x
  2. Step 2: Convert to fraction form
    264,415/397,208 = 397,208/x
  3. Step 3: Cross multiply
    264,415x = 397,208 × 397,208
  4. Step 4: Simplify right side
    264,415x = 157,774,195,264
  5. Step 5: Solve for x
    x = 157,774,195,264/264,415
  6. Step 6: Final answer
    x = 596,691.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.